The other motivation of our study is to improve the predictions for the
fission saddles. This requires simultaneously taking into account
a large number of shape variables [1]}, [2]} and relying
on an in principle exact method for finding saddles to escape
errors inherent in the mostly used constrained minimization method, see
[3]}, [4]}.
As usual, to make the involved computational effort manageable one has to
make some compromises which will be discussed in detail.
The need for a simultaneous consideration of many shape variables in
PES's calculations is common to all nuclear models, including self-consistent
theories based on some effective interactions [5]}.
The results on fission saddles obtained up to now in the SH region clearly
show the great importance of triaxial deformation, neglected in many
published work.
A recent study [6]} of barriers within both the MM Woods-Saxon and
Skyrme SLy6 Hartree-Fock plus BCS models shows that triaxiality
is even more crucial beyond \(Z =\)  126.
